Equation of state from hydrodynamic modes in dense trapped ultracold gases

摘要

Hydrodynamic modes for ultracold gases at any general density are considered. By writing the equations for the mode frequencies in a convenient way, we show that it is possible to determine the equation of state of the dense gas from the knowledge of the hydrodynamic frequencies. As an example, we investigate the case of two equal fermionic populations in different hyperfine states with attractive interactions. (C) 2003 Elsevier Science B.V. All rights reserved. [References: 7]